As technology advances in new sensors and software, modern vehicles become increasingly intelligent. To date, connected vehicles can collect, process, and share data with other entities in connected vehicle environments. However, in terms of data collection and exchange, privacy becomes a central issue. It is challenging to preserve privacy in connected vehicle environments when the privacy demands of drivers could change from situation to situation even for the same service. In this paper, we analyze the requirements for a privacy-preserving system in connected vehicle environments with a focus on situation-awareness and safety aspects. Based on the analysis, we propose a novel situation-aware privacy-preserving framework for connected vehicles. Our framework supports individual privacy protections for specific end-point services and situation-aware privacy protections for different circumstances.